LCM of 12, 15 and 18?

Question

the lcm of 12, 15 and 18 is......

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Answer 1 · 2018-05-20T01:57:16

180

# 12 = 3 xx 2 xx 2 #
# 15 = 3 xx 5 #
# 18 = 2 xx 3 xx 3 #

To find the LCM multiply all the unique factors together

There are 2 factors of 2 # 12 xx 2 xx 2 xx3 #
There are 2 factors of 3 # 18 = 2 xx 3 xx 3 #
There is 1 factor of 5 # 3 xx 5 #

There are repeat factors of 2 and 3 but these are not unique and do not have to be used to find the LCM

So multiply the unique factors together # 2^2 xx 3^2 xx 5 ^1#

LCM = # 2 xx 2 xx 3 xx 3 xx 5 = 180 #